An object attached to a coiled spring is pulled down a distance, lal, from its rest position and then released. Assuming that the motion is simple harmonic with period T,
write a function that relates the displacement, d, of the object from its rest position after t seconds. Assume that the positive direction of the motion is up.
|a| = 3; T = 8 seconds
below

Answers

Answer 1

Answer: The general form for an equation that models a wave is this: (+/-) a (sin/cos) (2π(x-p)/T), where a is your amplitude, p is your phase shift, and T is your period. The (+/-) becomes + if the graph is to start in the positive direction, and - if it is to start in the negative direction. The (sin/cos) becomes sine if the graph is to start at 0 before being shifted, while it becomes cosine if the graph is to start at the amplitude.

In this case, our graph starts out negative, and at the amplitude with no phase shift, so the (+/-) becomes -, (sin/cos) becomes cos, and p is zero. Substituting in the values given in the problem, a = 9 and T = 7, we find this equation: d = -9cos(2πt/7).

Step-by-step explanation:


Related Questions

A soft drink manufacturer has a daily production cost of C = 70,000 - 120x + 0.055x ^ 2 , where C is the total cost (in dollars) and x is the number of units produced. How many units should they produce each day to yield a minimum cost?
Show all work please.

Answers

The minimum cost will be 1091 units.

Define Vertex Formula.

When the graph crosses its symmetry axes, the vertex formula aids in determining the vertex coordinate of a parabola. The vertex point is often represented by (h, k).

We are aware that a parabola's conventional equation is y=ax²+bx+c. The vertex in this case should be near the base of the U-shaped curve if the coefficient of x² is positive. The vertex should be at the peak of the U-shaped curve if the coefficient of x² is negative.

Given expression is,

C = 70,000 - 120x + 0.055x²

For this equation, the graph will be parabola opening upward.

For that, the vertex will be the minimum cost

x = (-b) / 2a

Here, a = 0.055 , b = -120

Now, plug in the values and find 'x'

minimum cost (x) = ( -(-120) ) / ( 2 * 0.055 )

                            = 120 / 0.11

                            = 120 / 0.11

                            = 1090.90  or 1091 units

Therefore, the minimum cost will be 1091 units.

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manufacture of a certain component requires three different machining operations. machining time for each operation has a normal distribution, and the three times are independent of one another. the mean values are 15, 20, and 30 min, respectively, and the standard deviations are 2, 1, and 1.8 min, respectively. what is the probability that it takes at most 1 hour of machining time to produce a randomly selected component? (round your answer to four decimal places.)

Answers

The probability that it takes at most 1 hour of machining time to produce a randomly selected component  is  0.04074

we are provided  with  the  independent  time which are 15, 20, and 30 min and the respective standard deviations which are 2, 1, and 1.8 min.So the total  mean X= 15+20+30 =65, as we know that

Variance = ( standard deviation )²

=> Variance = 2² + 1² + 1.8² = 8.24

since standard deviation = √variance

=>Standard deviation = 2.87

so the z score = X -mean /standard deviation

since here X = 1 hour = 60 mintues

z = 60-65/2.87 =  -1.74216

So the probability, P( z≤ -1.74216) = 0.04074

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The formula D = 401t + 5940 can be used to approximate the total average credit card debt in a U.S. household (in dollars) t years after 1995. Use this formula to predict what the total average credit card debt will be in the year 2028. In the year 2028, the total average credit card debt for a U.S. household will be $

Answers

Step-by-step explanation:

The formula D = 401t + 5940 can be used to approximate the total average credit card debt in a U.S. household (in dollars) t years after 1995. Use this formula to predict what the total average credit card debt will be in the year 2028.

2028 - 1995 = 33 years, so t = 33

D = 401t + 5940

D = 401(33) + 5940

D = 13,233 + 5940  

D = 19,173

Answer: In the year 2028, the total average credit card debt for a U.S. household will be $19,173

help wanted .............................................................

Answers

Answer:

I'm pretty sure the answer would be >

Answer: |-8|>-2

Step-by-step explanation:

Because of the lines on both sides of the "-8" you don't pay attention to the "-" sign. That is because this is an absolute value sign. So instead you would read that as 8 ? -2 and which of course 8 is clearly greater

Hope this helps ;)

Graph the image of △IJK after the following sequence of transformations:
Translation 17 units left and 5 units up
Reflection across the line y=1

Answers

Please find attached the graph of the image of ΔIJK following a translation transformation of (-17, 5), and a reflection across the line y = 5

What is a transformation in geometry?

A transformation is an operation that changes the location, size and shape of geometric figures.

The coordinates of the vertex of ΔIJK are; I(14, 8), J(8, 5), K(14, 2)

The translation transformation is 17 units left and 5 units up = T₍₋₁₇, ₅₎

The location of the vertices of the image of ΔIJK following the translation transformation are;

[tex]I(14,\, 8)\ \underset{\longrightarrow}{T_{(-17,\, 5)}}\ I'(-3,\, 13)[/tex]

[tex]J(8, 5)\ \underset{\longrightarrow}{T_{(-17,\, 5)}}\ j'(-9,\, 10)[/tex]

[tex]K(14, 2)\ \underset{\longrightarrow}{T_{(-17,\, 5)}}\ K'(-3,\, 7)[/tex]

The coordinates of a point following a reflection across the line y = 1 are as follows;

The coordinates of the vertices of the image I'J'K' relative to the line y = 1 are;

I'(-3, 13), Relative point I'(-3, 12)

J'(-9, 10) has a relative point at (-9, 9)

K'(-3, 7) has a relative point (-3, 6)

The coordinates of the vertices of the reflected image are therefore;

(x, y)  [tex]\underset{\longrightarrow}{R_{y = 1}}[/tex]  (x, -(y - 1))

Which gives;

I'(-3, 12)  [tex]\underset{\longrightarrow}{R_{y = 1}}[/tex] I''(-3, -12 + 1) = I''(-3, -11)

J'(-9, 9) [tex]\underset{\longrightarrow}{R_{y = 1}}[/tex] I''(-9, -9 + 1) = I''(-9, -8)

k'(-3, 6)  [tex]\underset{\longrightarrow}{R_{y = 1}}[/tex] k''(-3, -6 + 1) = k''(-3, -5)

Please find attached the image of the ΔIJK following the translation and reflection transformation

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Does the series shown below converge or
diverge?
If convergent, find its sum.

Answers

Answer: Diverge Reasoning I took the test

In the first round of math contest, each students had to answer 2 questions. Miriam averaged 76 seconds per question. Jake and Rafael averaged 84 seconds per question, and Sam averaged 80 seconds per question. At the end of the first round, what was the total time for all 4 students?
a) 324 seconds
b) 400 seconds
c) 480 seconds
d) 568 seconds
e) 648 seconds

Answers

At the end of the first round, the total time is 648 seconds ( option E )

What is average ?

An average is the result that you get when you add two or more numbers together and divide the total by the number of numbers you added together.

For example, if there are 10 students in a class with ages 10, 11, 12, 10, 10,12,12,10,11,12 their average age will be( 10+ 11+12+10+10+12+12+10+11+12)/10

for Mariam her average time is 76 which means her total time is 76× 2= 152

for Jake and Rafael their average time is 84 which means their total time is 84×4= 336

for Sam,his average time is 80 which means is total time is 80×2= 160

therefore the total time spent by the 4 students is 152+336+160=648seconds

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there have been 2 earthquakes in the magnitude range 6.0-7.0 in the san francisco area over the past 30 years. what is the mean recurrence interval of earthquakes in this magnitude range?

Answers

The mean recurrence interval between earthquakes of this magnitude range over the previous 30 years essentially has been 4.769230 in a basically sort of big way in a subtle way.

Given, the earthquake's magnitude literally basically is between 6.0 and 7.0 in a very definitely big way, or so they for all intents and purposes thought. occurrences = 2 earthquakes

Duration: 30 years

particularly Mean Earthquake Recurrence Interval,

T=(n+1) / m

Where m = 6+7 / 2 = 6.5 , n = 30

T = ( 30+1)/6.5

   = 31/6.5

   = 4.769230

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50 POINTS!! NEED HELP
Drag each label to the correct location on the image.
Identify which equations have one solution, infinitely many solutions, or no solution.

Answers

Answer:

the label are marked by numbers

A store is instructed by corporate headquarters to put a markup of ​%67 on all items. An item costing ​$12 is displayed by the store manager at a selling price of ​$8
. As an​ employee, you notice that this selling price is incorrect. Find the correct selling price. What was the​ manager's likely​ error?

Answers

The correct selling price of the item has being solved as $20.04 The error that the manager has made is $12.04

How to solve for the markup

Given that there is a markup, the item that is being sold for 12 dollars would be affected by the percentage of the mark up.

This mark up is a 67% markup

This would be solved as

12$ + 67% of 12$

= $12 + 8.04

= $20.04

Hence the correct selling price is $20.04

Next we would have to find the likely error that the manager has made

= $20.04- ​$8

= $12.04

The likely error of the manager is $12.04

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We know that the diretrix is at x = 5 and that h = 2. This would make p =

Answers

When the directrix is at x = 5 and  point in the vertex is at h = 2. Then P would be -3

What is P in parabolic equation?

In the equation of parabola, P is defined as the distance between the directrix and the vertex

The vertex is defined by the points V ( h, k )

h is for the x coordinate

k is for the y coordinate

when the directrix is given in the x, we solve for P using h

P = h - point given for directrix

P = 2 - 5

P = -3

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Neel buys 8 dog treats for 4.40. what cost per dog treats

Answers

The cost per dog treat is 0.55 dollars

How to determine this,

The cost of 8 dog treats is 4.40 dollars

And the number of 1 dog treat is x dollar

x dollar=4.40 dollars×1 dog treat/8 dog treats

x=0.55 dollar per one dog treat

To complete the table,

For 18 dog treats

when 1 dog treat is 0.55 dollar

18 dog treats is x dollar

x=18 dog treats×0.55 dollar/1 dog treat

x=9.9dollars

For 25 dog treats,

when 1 dog treat is 0.55 dollar

for 25 dog treats is x dollar

x=25 dog treats×0.55 dollar/1 dog treat

x=13.75 dollars

For 6.05 dollars,

when 1 dog treat is 0.55 dollar

x dog treat is 6.05 dollars

x=6.05 dollars×1 dog treat/0.55 dollar

x=11 dog treat

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Answer:

Step-by-step explanation: 0.55

which of the following is a quantitative research method that aims to observe the relationship between an independent variable and a dependent variable? a.) a questionnaire b.) secondary data analysis c.) a focus group d.) an experiment

Answers

The correct option is  a.) a questionnaire, used as observing the relationship between independent variable as well as a dependent variable is the goal of a quantitative research technique known as employed as.

Define the term quantitative research method?

Quantitative methods place an emphasis on accurate measurements or the statistical, quantitative, or numerical evaluation of information gathered through surveys, polls, and other types of research, as well as the manipulation of statistical data that has already been obtained using computing methods.

Quantitative research involves gathering numerical information and using it to understand a specific event or generalise it across groups of individuals.

Its primary attributes are:

Typically, organised research tools are used to acquire the data.Given its high reliability, the research study can typically be replicated or redone.The researcher has a specific study question to which unbiased solutions are sought.Before data is collected, the study's various components are all carefully designed.Numbers and statistics make up data, which are frequently displayed in tables, charts, and other non-textual formats.

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What is -68 as a quotient of integers?

Answers

-68 as a quotient of integers is -680/10.

The given integer is -68.

What is a quotient of integers?

In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

Here, -68/1

Multiply 10 to both the numerator and denominator, we get

= -680/10

= -68

Therefore, -68 as a quotient of integers is -680/10.

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Select the two values of x that are roots of this equation. 2x2 – 11x + 15 = 0
A.x=3
B.x=6
C.x=5
D.x=5/2

Answers

The two values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

The given expression is ,

2x²– 11x + 15 = 0

Solve the equation and find roots

2x² - 6x - 5x + 15 = 0

Take common elements out

2x(x - 3) - 5(x - 3) = 0

we get the brackets same that means we're on right way,

(2x - 5) (x - 3) = 0

split the values into two and find values,

2x - 5 = 0            and        x - 3 = 0

2x = 5                               x = 3

x = 5 / 2

Hence, the  values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)

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The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $22.25 for 25 pounds of laundry and $36.49 for 41 pounds of laundry.

In words, describe the graph of the proportional relationship.

A line from (0, 0) going through (22.25, 25) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
A line from (0, 0) going through (25, 22.25) where the x-axis is labeled Cost (in dollars) and the y-axis is labeled Weight (in pounds)
A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Cost (in dollars) and the y-axis is labeled Weight (in pounds)

Answers

Answer:

  (B)  A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

Step-by-step explanation:

You want a description of the graph showing the proportional dependency of cost on weight if a couple of (weight, cost) points are (25, 22.25) and (41, 36.49).

Graph

The independent variable is weight, so the x-axis will be labeled Weight (in pounds). The dependent variable is cost, so the y-axis will be labeled Cost (in dollars). The two given points can be plotted on the graph.

The description from the available answer choices is ...

A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

<95141404393>

How many solutions does the
equation have?
3(d + 11) = 6(d + 33)

a. 0
b. 1
c. infinitely many

Answers

Answer: 1 solution

Step-by-step explanation:

3(d+11)=6(d+33)

simplifing the above equation

3d+33=6d+198

3d-6d=198-33

-3d=165

d= -165/3

d=-55

Answer:

b. 1

Step-by-step explanation:

3d + 33 = 6d + 198

3d - 6d = 198-33

-3d = 165

thus, d = -165/3

           = -55

In one book, there are 15 lines per page. In another book, there are 90 lines in every 6 pages. Determine whether the ratios of lines to pages are proportional in both books.

Answers

The ratios of lines to pages are proportional in both books.

How to calculate the value?

From the information, in In one book, there are 15 lines per page.

In another book, there are 90 lines in every 6 pages. Therefore, the number of lines per page will be:

= Number of line / Number of page

= 90 / 6

= 15 lines per page

Therefore since they're the same for both books as we got 15 lines, they're proportional.

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Tommaso and Pietro have each been given 3,818 euro to save for college.
Tommaso wants to invest his money in an account such that his investment
will increase to 1.6 times the initial amount in 6 years. Assume the account
pays a nominal annual interest of r % compounded quarterly.
Determine the value of r. Give your answer as a percentage number, not as
a decimal equivalent. Round to two decimal places.

Answers

Assume the account pays a nominal annual interest of r% compounded quarterly, the value of the interest rate (r) is equal to 7.87%.

How to determine the value of r?

Mathematically, compound interest can be calculated by using this formula:

A(t) = P(1 + r/n)^{nt}

Where:

A represents the future value.P represents the principal.r represents the interest rate.n represents the number of times compounded.T represents the time measured in years.

Substituting the given parameters into the formula, we have;

1.6(3,818) = 3,818(1 + r/8)^{8 × 6}

1.6 = (1 + r/8)^{48}

Taking the 48th root of both sides of the equation, we have:

[tex]\sqrt[48]{1.6} = \sqrt[48]{(1 + \frac{r}{8} )^{48} }[/tex]

1.00983983823726 = 1 + 0.125r

0.125r = 1.00983983823726 - 1

0.125r = 0.00983983823726

Interest rate, r = 0.00983983823726/0.125

Interest rate, r = 0.0787

Interest rate, r = 7.87%

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On the first day of an experiment, a scientist counts 31 bacteria. On the eighth day of the experiment, the count is 310,000 bacteria.

How many times greater is 310,000 than 31?

A. 310,000
B. 10,000
C. 1,000
D. 31

Answers

It’s b 10000 because if you multiply 31 times 10000 it 310,000

5. A road has a 6% downgrade (meaning for every 100 feet you could go horizontally, you go down 6
feet). What is the angle the road makes?

Answers

The angle the road makes is 3.43°

What is an angle?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Here, we have

A 6% downgrade means that for every 100 units of horizontal run.

The vertical height decreases by 6 units.

The grade has a downward angle of

tan⁻1(6/100) = 3.43°

Hence, the angle the road makes is 3.43°

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In a certain chemical the ratio of zinc to copper is 4 to 11. a jar of the chemical contains 484 grams of copper. how many grams of zinc does it contain

Answers

The jar of chemicals contains 176 grams of zinc.

Using ratio and proportion to calculate the amount of zinc. Let us assume the mass of zinc to be x. Equating the ratios.

4 : 11 = x : 484

Rewriting the equation in terms of x

x = (484 × 4) ÷ 11

Performing multiplication in numerator on Right Hand Side of the equation to find the value of x

x = 1936 ÷ 11

Performing division on Right Hand Side of the equation to find the value of x

x = 176

Thus, the mass of zinc is 176 grams.

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I need this answer as soon as possible.It will be nice if you do it in a paper.​

Answers

Answer:

as shown in underline ^^

Step-by-step explanation:

Fill in the missing words:

When a solid mixes with a liquid and becomes part of the liquid it dissolves.

A solid that dissolves in a liquid is soluble.

A solid that does not dissolve in a liquid is insoluble.

PLEASE HELP will mark brainliest

Answers

The slope of the given line in the graph is 0.

What is slope?

 The steepness and direction of a line are measured by its slope. Any two points along the line can be used to calculate it. A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x). The Slope, also known as the Gradient, of a straight line displays how steep the line is. The change in y coordinate relative to the change in x coordinate is known as the slope of an object.

Here the given graph points are,

[tex](x_1-y_1)=(1,1)\\(x_2,y_2)=(4,1)[/tex]

Using slope formula ,

=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = [tex]\frac{1-1}{4-1}[/tex]

=> slope m = 0/3

=> slope m=0.

Therefore slope of the line is 0.

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A) A box of mass 9 kg contains x articles each of mass 1.2 kg. Write down an expression for the total mass of the box and its contents.
B) How many articles are there in the box if the total mass of the box and articles is 21 kg?

Answers

Step-by-step explanation:

A. total mass = 9 + (x × 1.2)

B. 21 - 9 = 12kg

12 ÷ 1.2 = 10 articles.

hope it helps. :)

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. If a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? Round your answer to four decimal places.

Answers

The probability that the sample mean would differ from the population mean by greater than 0.5 millimeters is 1

How to determine the probability value?

From the question, the given parameters about the distribution are

Mean diameter = 127Variance = 36 The actual data value, x = Less than 0.5

The standard deviation is the square root of variance

So, we have

Standard deviation = 6

The z-score is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (0.5 - 127)/6

Evaluate

z = -21.08

The probability is then calculated as:

P(x > 0.5) = P(z > -21.08)

From the z table of probabilities, we have;

P(x < 0.5) = 1

Hence, the probability is 1.0

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Does the diagram contain enough information to prove that line segment JK is parallel to line segment ML? Explain your answer.

Answers

I think so ya is does you just need to tell your teacher if you don't understand

a sock drawer contains 10 white socks, 6 black socks , and 8 blue socks if 2 socks are chosen at random, without replacement
calculate the probability she chooses 2 socks of the same colour

Answers

Simply put, probability is the likelihood that something will occur.When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.

calculate the probability she chooses 2 socks of the same colour ?

I clarify this because the question uses plural “drawing white socks”. Ok, in our language practice one does usually say socks instead of sock because they usually come in pair.

If it means 1 draw of 1 sock then the probability is 6out of 21. Or about 28.57%

But if it is to draw twice with one sock being drawn in each draw to get a pair of white socks then the probability is 6/21 * /20 = 30/420 = 1/14 or about 7.14%

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Graph the line with slope 1 passing through the point -2, -5 .

~Shown Graph and Question~

Answers

Answer: y = x - 3

Step-by-step explanation:

Answer:

y = x+3

Step-by-step explanation:

First of all we have to find the equation of the line

Slope-intercept form is:

[tex]y=mx+b[/tex]

Putting the value of slope

[tex]y=x+b[/tex]

Putting the point in the equation

(-4,-1)

[tex]-2=-5+b\\b=-2+5\\b=3[/tex]

So the equation is:

[tex]y=x+3[/tex]

The graph is attached with the answer

Keywords: Equation of line, slope

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Kaela wants to purchase a pair of shoes at Macy’s that cost $80. If Macy’s charges a
6% sales tax, how much will Kaela pay for the shoes, including tax?

Answers

Answer: $84.80

Step-by-step explanation:

The actual sales tax was 4.80 because 6% of 80 is 4.80

Then add the 4.80 to the 80 to get your total

Hope this helped :)

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Yoga can be performed in a ____________ or ____________ position. Question 5 options: seated or standing downward or upward rocking or climbing Which of the following describes the two different types of interest rates offered on home mortgages?A: Fixed and variable B: Timed and untimedC: High and lowD: Year or decade Shaq is climbing on the side of a mountain. From a spot on the41/2 ofmountain, he climbs up of a kilometer. He then climbs down5a kilometer. How many kilometers is Shaq from his original startingpoint? work in process apr. 1 balance 7,400 apr. 30 goods finished x 30 direct materials 69,100 30 direct labor 190,600 30 factory overhead 57,180 finished goods apr. 1 balance 13,100 30 goods finished 307,900 what was the balance of work in process as of april 30? Read the following paragraph from an essay discussing a ban on outdoor smoking:Evidence is growing that outdoor, smoking poses health risks to non-smokers from secondhand smoke, hot ash, and burning cigarettes. Second hand smoke exposes nonsmokers to dangerous chemicals. Studies show that smoke plumes have enough particulate matter to endanger the health of people nearby, especially those with existing medical issues. Although smoke can drift away quickly outside, smokers often gather together in places like outdoor cafes, near doorways, and at bus stops, parks, and concerts. This can produce a lot of smoke in a small area, Besides the dangers of inhaling smoke, nonsmokers are at risk of cigarette burns or getting ash in their eyes or on their clothing in crowded conditions, such as on busy sidewalks. These health concerns have caused many cities and businesses to restrict smoking in crowded outdoor areas, but there are other reasons for the bans as well.What is the function of the sentence? "These health concerns have caused many cities and businesses to restrict smoking in crowded outdoor areas, but there are other reasons for the bans as well."A) AnalysisB)EvidenceC) LinkingD)Main point what is the most likely consequence of emphasizing internal job evaluations? multiple choice sales will increase. salespeople will be paid below the market rate. the status quo will be maintained. salespeople will look for new jobs with competitors. a hiring freeze will go into effect immediately. When a glucose molecule loses a hydrogen atom as the result of an oxidation-reduction reaction, the glucose molecule becomes. unit 5 dis 2 Discussion Topic Please post detailed answers to the following questions. Please use complete sentences. What are some behaviors or practices that you personally use to maintain or improve your health? How can health scientists encourage people to engage in preventative behaviors and practices health the gust front occurs group of answer choices on the lee shore of the great lakes. during the development of thunderstorm clouds. at the leading edge of a thunderstorm downdraft. near the anvil part of a thunderstorm cloud. moral/lesson of owner of the sky:olorun the creator if you found a line of volcanic peaks a few hundred miles long in which the volcanoes were progressively older toward one end of the line, what probably created them? if you found a line of volcanic peaks a few hundred miles long in which the volcanoes were progressively older toward one end of the line, what probably created them? a divergent boundary a hot spot a transform boundary a convergent boundary a new patient is completing your offices patient registration form. the patient tells you that she has insurance but does not have her card with her and does not know the effective date of coverage, the group plan number, or the identification number. explain one or more ways to obtain the insurance information right away. What is the Characteristics, Concern of risk, And Examples of a Entrepreneur? what best describes john marshall's service to the united states? responses he ran for president and became secretary of state after losing. he ran for president and became secretary of state after losing. after failing in his bid to become vice president, he wrote important books on political science. after failing in his bid to become vice president, he wrote important books on political science. he was chief justice of the supreme court for almost 35 years. he was chief justice of the supreme court for almost 35 years. he was a powerful senator who influenced passage of the missouri compromise. he was a powerful senator who influenced passage of the missouri compromise. 20 points help please!~~~~~~~~~~~~~Marcus is revising an essay, and he noticed he used the word "repulsive." He wants to replace the word with one that is less harsh. He wants to change the word based on itsA.) connotationB.) denotationC.) figurative languageD.) syllables the (fill in the blank) refers to the style of life between extreme self-denial and ordinary life, which can lead to enlightenment. tickets for a community theater cost $11 for each main floor seat and $6 for each balcony seat. there are 400 seats on the main floor, and these seats were sold out for the evening performance. the total revenue from ticket sales was $5060. how many balcony seats were sold? If $3000 is invested at tan interest rate if 4.8%, compounded hourly for two years what is the ending balance? Justice uses a program to keep track of how much money she earns and spends each week. Which type of data is used to determine if her account is greater than $20? Money Boolean Images Text part of an area or group